Finding the Third Proportional to 12,984 and 17,882
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Solution
The third proportional to 12,984 and 17,882 is: 24,627.69
Step by Step Solution
- Step 1: Write the proportion equation
12,984 : 17,882 = 17,882 : x - Step 2: Convert to fraction form
12,984/17,882 = 17,882/x - Step 3: Cross multiply
12,984x = 17,882 × 17,882 - Step 4: Simplify right side
12,984x = 319,765,924 - Step 5: Solve for x
x = 319,765,924/12,984 - Step 6: Final answer
x = 24,627.69
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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.